10219997518080 has 864 divisors, whose sum is σ = 39641054745600. Its totient is φ = 2234625490944.

The previous prime is 10219997517967. The next prime is 10219997518091. The reversal of 10219997518080 is 8081579991201.

It is a super-2 number, since 2×10219997518080² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 594765169 + ... + 594782351.

It is an arithmetic number, because the mean of its divisors is an integer number (45880850400).

Almost surely, 2^{10219997518080} is an apocalyptic number.

10219997518080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10219997518080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19820527372800).

10219997518080 is an abundant number, since it is smaller than the sum of its proper divisors (29421057227520).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10219997518080 is a wasteful number, since it uses less digits than its factorization.

10219997518080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17359 (or 17338 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 60.

The spelling of 10219997518080 in words is "ten trillion, two hundred nineteen billion, nine hundred ninety-seven million, five hundred eighteen thousand, eighty".